The integral `int (xdx)/(2-x^2+sqrt(2-x^2)` equals: (A) `log|1+sqrt(2+x^2)|+C` (B) `xlog|1-sqrt(2+x^2)|+C` (C) `-log|1+sqrt(2-x^2)|+C` (D) `xlog|1-sqrt(2-x^2)|+C`

int(x dx)/((x-1)(x-2) equal (A) log|((x-1)^2)/(x-2)|+C (B) log|((x-2)^2)/(x-1)|+C (C) log|((x-1)^2)/(x-2)|+C (D) log|(x-1)(x-2)|+C

Find the integral int(1)/(sqrt((1-x)(2-x)))dx A. log(2x-3)+sqrt((2x-3)^(2)-1)+Cquad B. log(2x-3)-sqrt((2x-3)^(2)+1)+C C. log(2x+3)-sqrt((2x+3)^(2)-1)+Cquad D. log(2x+3)+sqrt((2x+3)^(2)+1)+C

d/(dx)(sin^(-1)x+cos^(-1)x) is equal to : (A) (1)/(sqrt(1-x^(2))), (B) (2)/(sqrt(1-x^(2))), (C) 0 (D) sqrt(1-x^(2))

int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+c (b) 2sqrt(1+sqrt(1+x^2))+c (c) 2(1+sqrt(1+x^2))+c (d) 4sqrt(1+sqrt(1+x^2))+c

Find the value of int((x^m-1)dx)/(x^(m+1)sqrt(1-2x^m+mx^(2m))) (A) sqrt(m+2/x^m+1/x^(2m)+c) (B) sqrt(m-2/x^m+1/x^(2m)+c) (C) sqrt(m-2/x^m-1/x^(2m)+c) (D) sqrt(m+2/x^m-1/x^(2m)+c)

int x(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx equals

int(1)/(1+sqrt(x))dx is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b.2sqrt(x)-2ln|1+sqrt(x)|+cc2sqrt(x)-2ln|1-sqrt(x)|+cd2sqrt(x)-ln|1+sqrt(x)|+c

Find the integral int(1)/(5-8x-x^(2))dx A. (1)/(2sqrt(21))log|(sqrt(21)+(x+4))/(sqrt(21)-(x+4))|+C .B. (1)/(2sqrt(21))log|(sqrt(21)-(x+4))/(sqrt(21)+(x+4))|+C C. (1)/(sqrt(21))log|((x+4)+sqrt(21))/((x+4)-sqrt(21))|+Cquad D. (1)/(sqrt(21))log|((x+4)-sqrt(21))/((x+4)+sqrt(21))|+C

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)